简介：<正>IthasbeenconjecturedthatthereisahamiltoniancycleineveryfiniteconnectedCayleygraph.Inspiteofthedifficultyinprovingthisconjecture,weshowthatalmostallCayleygraphsarehamiltonian.Thatis,astheordernofagroupGapproachesinfinity,theratioofthenumberofhamiltonianCayleygraphsofGtothetotalnumberofCayleygraphsofGapproaches1.

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简介：Asignpattern(matrix)isamatrixwhoseentriesarethesymbols+,-and0.Forann×nsignpatternmatrixA,thesignpatternclassofA,denotedbyQ(A),isthesetofalln×nrealmatriceswhoseentrieshavesignsindicatedbythecorrespondingentriesofA.WesaythatasignpatternmatrixArequiresamatrixpropertyPifeveryrealmatrixinQ(A)hasthepropertyP.Amatrixwithalldistincteigenvalueshasmanyniceproperties

简介：让一，b，k，r是有1一b和r的nonnegative整数2。让G是有$n的顺序n的一张图>\tfrac{{(+b)(r(+b)-2)+ak}}{一}$。在这份报纸，我们首先为部分的所有显示出描述(一，b，k)批评的图。然后使用结果，我们证明G都是部分的(一，b，k)批评如果$\delta(G)\geqslant\tfrac{{(r-1)b^2}}{一}+k$并且$|N_G(x_1)\cupN_G(x_2)\cup\cdots\cupN_G(x_r)|\geqslant\tfrac{{bn+ak}}{{+b}}$为任何独立子集{x1，x2，，xr}在G。而且，这被显示出条件$|N_G(x_1)上的更低的界限\cupN_G(x_2)\cup\cdots\cupN_G(x_r)|\geqslant\tfrac{{bn+ak}}{{+b}}$是在某感觉可能的最好，并且它是Lus的延期以前的结果。

简介：MuonsproducedbytheBethe–HeitlerprocessfromlaserwakefieldacceleratedelectronsinteractingwithhighZmaterialshavevelocitiesclosetothelaserwakefield.Itispossibletoacceleratethosemuonswithlaserwakefielddirectly.Thereforeforthefirsttimeweproposeanall-optical‘GeneratorandBooster’schemetoacceleratetheproducedmuonsbyanotherlaserwakefieldtosupplyaprompt,compact,lowcostandcontrollablemuonsourceinlaserlaboratories.Thetrappingandaccelerationofmuonsareanalyzedbyone-dimensionalanalyticmodelandverifiedbytwo-dimensionalparticle-in-cell(PIC)simulation.Itisshownthatmuonscanbetrappedinabroadenergyrangeandacceleratedtohigherenergythanthatofelectronsforlongerdephasinglength.WefurtherextrapolatethedependenceofthemaximumaccelerationenergyofmuonswiththelaserwakefieldrelativisticfactorγandtherelevantinitialenergyE0.Itisshownthatamaximumenergyupto15.2GeVispromisingwithγ=46andE0=1.45GeVontheexistingshortpulselaserfacilities.

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简介：Polarizationmanipulationisessentialindevelopingcutting-edgephotonicdevicesrangingfromopticalcommunicationdisplaystosolarenergyharvesting.Mostpreviousworksforefficientpolarizationcontrolcannotavoidutilizingmetalliccomponentsthatinevitablysufferfromlargeohmiclossandthuslowoperationalefficiency.ReplacingmetalliccomponentswithMieresonance-baseddielectricresonatorswilllargelysuppresstheohmiclosstowardhigh-efficiencymetamaterialdevices.Here,weproposeanefficientapproachforbroadband,highqualitypolarizationrotationoperatingintransmissionmodewithall-dielectricmetamaterialsintheterahertzregime.Byseparatingtheorthogonalpolarizationcomponentsinspace,weobtainrotatedoutputwaveswithaconversionefficiencyof67.5%.Theproposedpolarizationmanipulationstrategyshowsimpressiverobustnessandflexibilityindesigningmetadevicesofbothlinear-andcircular-polarizationincidences.

简介：APLU-SGSmethodbasedonatime-derivativepreconditioningalgorithmandLUSGSmethodisdevelopedinordertocalculatetheNavier-Stokesequationsatallspeeds.TheequationswerediscretizedusingAUSMPWschemeinconjunctionwiththethird-orderMUSCLschemewithVanLeerlimiter.ThepresentmethodwasappliedtosolvethemultidimensionalcompressibleNavier-Stokesequationsincurvilinearcoordinates.Characteristicboundaryconditionsbasedontheeigensystemofthepreconditionedequationswereemployed.Inordertoexaminetheperformanceofpresentmethod,driven-cavityflowatvariousReynoldsnumbersandviscousflowthroughaconvergent-divergentnozzleatsupersonicwereselectedtotestthismethod.Thecomputedresultswerecomparedwiththeexperimentaldataortheothernumericalresultsavailableinliteratureandgoodagreementsbetweenthemareobtained.Theresultsshowthatthepresentmethodisaccurate,self-adaptiveandstableforawiderangeofflowconditionsfromlowspeedtosupersonicflows.

简介：四聚合物与thiophene，bithiophene，selenophone和thieno基于perylenediimide异分子聚合[3,2-b]thiophene在所有聚合物作为领受人材料被调查太阳能电池。二不同施主聚合物，poly[4,8二度(5-(2-ethylhexyl)thiophen-2-yl)benzo[1,2-b；4,5-b]dithiophene-2,6-diyl-alt-(4-(2-ethylhexyl)-3-fluorothieno[3,4-b]thiophene)-2-carboxylate-2,6-diyl](PTB7-Th)并且poly[(5,6-difluoro-2,1,3-benzothiadiazol-4,7-diyl)-alt-(3,3-di(2-dodecyltetradecyl)-2,2;5,2;5,2-quaterthiophen-5,5-diyl)](PffBT4T-2DT)，与合适互补的吸收，系列和精力层次被使用并且检验。在对这里学习了的所有不同施主领受人之中，联合PTB7-Th:poly[N，N二度(1-hexylheptyl)-3,4,9,10-perylenediimide-1,6/1,7-diyl-alt-2,5-thiophene](PDI-Th)展出了5.13%的最好的力量变换效率(PCE)，与开电路的电压(Voc)=0.79V，电线走火电流密度(Jsc=12.35妈

简介：ＳｔｕｄｙｏｎａＮｅｗＴｙｐｅｏｆＡｌｌ－Ｓｏｌｉｄ－ＳｔａｔｅＲｅｆｅｒｅｎｃｅＥｌｅｃｔｒｏｄｅＣｈａｏＬｕｎＨＵＡＮＧ；ＪｕＪｉｅＲＥＮ；ＤａＦｅｎｇＸＵ（ＤｅｐａｒｔｍｅｎｔｏｆＰｈａｒｍａｃｙ，ＨｅｂｅｉＭｅｄｉｃａｌＵｎｉｖｅｒｓｉｔｙ，...

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简介：Comparedwithendpumpingfibercombiner,oneoftheadvantagesforsidepumpingcombineristheunlimitedpumpingpoints,whichmeansmulti-pointorcascadedsidepumpingcanberealized.However,thelossmechanismofthecascadedstructureisrarelydiscussed.Inthispaper,wepresentthenumericalandexperimentalinvestigationaboutthelossmechanismofatwo-stage-cascadedsidepumpingcombinerbasedontapered-fusedtechnique.Theinfluenceoflossmechanismonthecouplingefficiencyandthermalloadofthefibercoatingisanalyzedaccordingtosimulationsandexperimentswithdifferenttaperingratiosforthefirststage.Basedontheanalysis,acascadedcomponentwithtotalpumpcouplingefficiencyof96.4%handlingapumppowerof1088Wisachievedbyemploying1018nmfiberlaserasthepumpsource.Futureworktofurtherimprovetheperformanceofacascadedsidepumpingcombinerisdiscussedandprospected.

简介：在这份报纸，我们建议二种不同标准并且使用他们判定Durand紧排方法的集中并且把获得的结果与另外的方法作比较。[从作者抽象]

简介：ThedistributionofthePjateckli-Saplroprimenumbersinarithmeticprogresionsisinvestigated,andaBombiari-Vinogradovtypemean-valuetheoremandanotheralmostallresultconcerningthisproblemareestablished.

简介：WeshowthatmanyharmonicanalysisoperatorsintheBesselsetting,includingmaximaloperators,Littlewood–Paley–Steintypesquarefunctions,multipliersofLaplaceorLaplace–StieltjestransformtypeandRiesztransformsare,orcanbeviewedas,Calderón–Zygmundoperatorsforallpossiblevaluesoftypeparameterλinthiscontext.Thisextendsresultsexistingintheliterature,butbeingjustifiedonlyforarestrictedrangeofλ.

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简介：Graphenemicrofibersareburgeoningmodulatorswithgreatpotentialinall-opticalcommunication.Oneofthecriticalissuesthatremainstobeunderstoodisthedynamicmechanismoflight–grapheneinteraction.Here,weproposeapowerdependentmodulationbyusing980nmpumplightand1064nmsignallightviagraphenemicrofiber,andtheresultsshowastrongtransmissionreductionandfrequencyblueshiftwiththeincreaseofpumppower.TheexperimentalobservationisattributedtoastimulatedBrillouinscatteringprocessinducedbythepumplight.Powerandfrequencyvariationsarearesultofenergytransitionofthescatteredphononinthefiber.Thisworkrevealsthenonlineareffectprocessinthelight–grapheneinteractionandprovidesanewmethodforpowerandfrequencycontrolwithgrapheneall-opticalmodulation.

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